Question

A truck tire with a radius of 0.35 m rotates at an angular speed of 66.4 rad/s. What is the tires angular displacement in one minute?

Answer 1

Answer:

3984 rad

Explanation:

The angular speed of a rotating object is the rate of change of angular displacement of the object.

Mathematically, it is given by

$\omega=\frac{\Delta \theta}{\Delta t}$

where

$\omega$ is the angular speed

$\Delta \theta$ is the angular displacement

$\Delta t$ is the time interval

In this problem, we have:

$\omega=66.4 rad/s$ is the angular speed of the tire

We want to know what is the angular displacement in one minute, so in a time interval of

$\Delta t = 1min = 60 s$

Solving the equation, we find:

$\Delta \theta = \omega \Delta t =(66.4)(60)=3984 rad$